Deformed integrable σ-models, classical R-matrices and classical exchange algebra on Drinfel’d doubles

Benoit Vicedo

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    86 Citations (Scopus)
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    Abstract

    We describe a unifying framework for the systematic construction of integrable deformations of integrable σ-models within the Hamiltonian formalism. It applies equally to both the 'Yang–Baxter' type as well as 'gauged WZW' type deformations which were considered recently in the literature. As a byproduct, these two families of integrable deformations are shown to be Poisson–Lie T-dual of one another
    Original languageEnglish
    Article number355203
    Number of pages33
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume48
    Issue number35
    DOIs
    Publication statusPublished - 12 Aug 2015

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